{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "be5dc1fa-dff4-41d0-bfc8-107f8d394332",
   "metadata": {},
   "source": [
    "Chapter 32\n",
    "# 支持向量机，高斯核\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "f52fb61e-7b9e-40b4-9e23-b995682aa127",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from matplotlib.colors import ListedColormap\n",
    "from sklearn import neighbors, datasets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "77da8cf1-85ff-4593-af2e-fc0af7c2c03d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入并整理数据\n",
    "iris = datasets.load_iris()\n",
    "X = iris.data[:, :2]\n",
    "y = iris.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8ef728ca-d835-4d90-8397-a99027198f20",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成网格化数据\n",
    "x1_array = np.linspace(4,8,101)\n",
    "x2_array = np.linspace(1,5,101)\n",
    "xx1, xx2 = np.meshgrid(x1_array,x2_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "579b8457-3d97-4a32-91ae-98f8d3b19ce5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 创建色谱\n",
    "rgb = [[255, 238, 255],  \n",
    "       [219, 238, 244],  \n",
    "       [228, 228, 228]]  \n",
    "rgb = np.array(rgb)/255.\n",
    "cmap_light = ListedColormap(rgb)\n",
    "cmap_bold = [[255, 51, 0], \n",
    "             [0, 153, 255],\n",
    "             [138,138,138]]\n",
    "cmap_bold = np.array(cmap_bold)/255."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f1b7c324-6c21-458f-9849-996115d4a6b7",
   "metadata": {},
   "outputs": [],
   "source": [
    "q = np.c_[xx1.ravel(), xx2.ravel()]\n",
    "from sklearn import svm\n",
    "# 创建支持向量机 (高斯核) 分类器对象\n",
    "SVM = svm.SVC(kernel='rbf', gamma= 'auto')\n",
    "# 用训练数据训练kNN\n",
    "SVM.fit(X, y)\n",
    "# 用支持向量机 (高斯核) 分类器对一系列查询点进行预测\n",
    "y_predict = SVM.predict(q)\n",
    "y_predict = y_predict.reshape(xx1.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "052e741d-2da1-485e-a4f7-5755f1b87936",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "fig, ax = plt.subplots()\n",
    "plt.contourf(xx1, xx2, y_predict, cmap=cmap_light)\n",
    "plt.contour(xx1, xx2, y_predict, levels=[0,1,2], \n",
    "            colors=np.array([0, 68, 138])/255.)\n",
    "sns.scatterplot(x=X[:, 0], y=X[:, 1], \n",
    "                hue=iris.target_names[y],\n",
    "                ax = ax,\n",
    "                palette=dict(setosa=cmap_bold[0,:],\n",
    "                versicolor=cmap_bold[1,:], \n",
    "                virginica=cmap_bold[2,:]),\n",
    "                alpha=1.0, \n",
    "                linewidth = 1, edgecolor=[1,1,1])\n",
    "plt.xlim(4, 8); plt.ylim(1, 5)\n",
    "plt.xlabel(iris.feature_names[0])\n",
    "plt.ylabel(iris.feature_names[1])\n",
    "ax.grid(linestyle='--', linewidth=0.25, \n",
    "        color=[0.5,0.5,0.5])\n",
    "ax.set_aspect('equal', adjustable='box')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
